NFA for this language

L = {s \in {0, 1, 2}* : the integer value pf s in ternary notation is one less than a multiple of 4}

2. Relevant equations

3. The attempt at a solution

I've written out and looked at the ternary notions for accepting strings, but can't seem to find a pattern. It seems that the last bit is in a cycling of 012 and the second last bit is a cycle of 120, 201, 012.